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Finding the Fourth Proportional to 30,314.36, 45,477.74 and 12,784.20

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Solution

The fourth proportional to 30,314.36, 45,477.74 and 12,784.20 is: 19,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.36 : 45,477.74 = 12,784.20 : x
  2. Step 2: Convert to fraction form
    30,314.36/45,477.74 = 12,784.20/x
  3. Step 3: Cross multiply
    30,314.36x = 45,477.74 × 12,784.20
  4. Step 4: Simplify right side
    30,314.36x = 581,396,523.71
  5. Step 5: Solve for x
    x = 581,396,523.71/30,314.36
  6. Step 6: Final answer
    x = 19,178.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.